Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 16, Problem 66P
To determine
To find:
The value of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
y!
72 Two sinusoidal 120 Hz
waves, of the same frequency
and amplitude, are to be sent in
the positive direction of an x axis
that is directed along a cord un-
der tension. The waves can be
10
20
sent in phase, or they can be
phase-shifted. Figure 16-47
shows the amplitude y' of the re-
sulting wave versus the distance of the shift (how far one wave is
shifted from the other wave). The scale of the vertical axis is set
by y', = 6.0 mm. If the equations for the two waves are of the
form y(x, t) = ym sin(kx + wt), what are (a) ym, (b) k, (c) w, and
(d) the correct choice of sign in front of w?
Shift distance (cm)
Figure 16-47 Problem 72.
(uu)
66 Figure 16-44 shows the dis-
placement y versus time t of the
point on a string at x= 0, as a
wave passes through that point.
The scale of the y axis is set by
y, = 6.0 mm. The wave is given
by y(x, t) = ym sin(kx – wt + 4).
What is 4? (Caution: A calculator
does not always give the proper
inverse trig function, so check your answer by substituting it and an
assumed value of w into y(x, 1) and then plotting the function.)
y (mm)
Figure 16-44 Problem 66.
(d)v = 2/ghmax
A wave traveling on a string has the following wave function, y(x, t) = Asin(kx + wt + p). At time
3D0, the point x = 0 has a displacement of y(0,0) = 0, and is moving in the negative y-direction.
Which of the following is true about the phase constant and the wave speed direction?
(a) o = "/2, and the wave is moving in the negative x-direction.
(b) = "/2, and the wave is moving in the positive x -direction.
11)
%3D
(c) o = n and the wave is moving in the negative x -direction.
(d)o = n and the wave is moving in the positive x -direction.
12)
Two identical but separate strings, with the same tension, carry sinusoidal waves with the same
frequency. Wave A has an amplitude that is twice that of wave B and transmits energy at a rate that is
Lanswer below ) that ofwave B.
(a) half
(b)twice
(c) one-fourth
(d) four times
Chapter 16 Solutions
Fundamentals of Physics Extended
Ch. 16 - Prob. 1QCh. 16 - Prob. 2QCh. 16 - Prob. 3QCh. 16 - Prob. 4QCh. 16 - Prob. 5QCh. 16 - The amplitudes and phase differences for four...Ch. 16 - Prob. 7QCh. 16 - a If a standing wave on a siring is given by y't =...Ch. 16 - Prob. 9QCh. 16 - If you set up the seventh harmonic on a string, a...
Ch. 16 - Prob. 11QCh. 16 - If a wave yx, t = 6.0mm sinkx 600 rad/st ...Ch. 16 - Prob. 2PCh. 16 - A wave has an angular frequency of 110 rad/s and a...Ch. 16 - Prob. 4PCh. 16 - A sinusoidal wave travels along a string. The time...Ch. 16 - Prob. 6PCh. 16 - A transverse sinusoidal wave is moving along a...Ch. 16 - Prob. 8PCh. 16 - Prob. 9PCh. 16 - The equation of a transverse wave traveling along...Ch. 16 - Prob. 11PCh. 16 - GO The function yx, t = 15.0 cm cosx 15 t, with x...Ch. 16 - Prob. 13PCh. 16 - The equation of a transverse wave on a string is y...Ch. 16 - Prob. 15PCh. 16 - The speed of a transverse wave on a string is 170...Ch. 16 - The linear density of a string is 1.6 104 kg/m. A...Ch. 16 - Prob. 18PCh. 16 - SSM What is the speed of a transverse wave in a...Ch. 16 - The tension in a wire clamped at both ends is...Ch. 16 - ILW A 100 g wire is held under a tension of 250 N...Ch. 16 - A sinusoidal wave is traveling on a string with...Ch. 16 - SSM ILW A sinusoidal transverse wave is traveling...Ch. 16 - Prob. 24PCh. 16 - A uniform rope of mass m and length L hangs from a...Ch. 16 - A string along which waves can travel is 2.70 m...Ch. 16 - Prob. 27PCh. 16 - Use the wave equation to find the speed of a wave...Ch. 16 - Use the wave equation to find the speed of a wave...Ch. 16 - Use the wave equation to find the speed of a wave...Ch. 16 - Prob. 31PCh. 16 - What phase difference between two identical...Ch. 16 - Prob. 33PCh. 16 - Prob. 34PCh. 16 - SSM Two sinusoidal waves of the same frequency...Ch. 16 - Four waves are to be sent along the same string,...Ch. 16 - GO These two waves travel along the same string:...Ch. 16 - Two sinusoidal waves of the same frequency are to...Ch. 16 - Two sinusoidal waves of the same period, with...Ch. 16 - Two sinusoidal waves with identical wavelengths...Ch. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - SSM WWW What are a the lowest frequency, b the...Ch. 16 - A 125 cm length of string has mass 2.00 g and...Ch. 16 - Prob. 45PCh. 16 - String A is stretched between two clamps separated...Ch. 16 - Prob. 47PCh. 16 - If a transmission line in a cold climate collects...Ch. 16 - Prob. 49PCh. 16 - Prob. 50PCh. 16 - Prob. 51PCh. 16 - A rope, under a tension of 200 N and fixed at both...Ch. 16 - Prob. 53PCh. 16 - Prob. 54PCh. 16 - GO The following two waves are sent in opposite...Ch. 16 - A standing wave pattern on a string is described...Ch. 16 - A generator at one end of a very long string...Ch. 16 - GO In Fig. 16-42, a string, tied to a sinusoidal...Ch. 16 - GO In Fig. 16-43, an aluminum wire, of length L1 =...Ch. 16 - Prob. 60PCh. 16 - Prob. 61PCh. 16 - Prob. 62PCh. 16 - A wave has a speed of 240 m/s and a wavelength of...Ch. 16 - The equation of a transverse wave traveling alone...Ch. 16 - The equation of a transverse wave traveling along...Ch. 16 - Prob. 66PCh. 16 - Prob. 67PCh. 16 - Prob. 68PCh. 16 - Prob. 69PCh. 16 - Prob. 70PCh. 16 - A transverse sinusoidal wave is generated at one...Ch. 16 - Prob. 72PCh. 16 - Prob. 73PCh. 16 - Prob. 74PCh. 16 - a What is the fastest transverse wave that can be...Ch. 16 - A standing wave results from the sum of two...Ch. 16 - Prob. 77PCh. 16 - Prob. 78PCh. 16 - Prob. 79PCh. 16 - When played in a certain manner, the lowest...Ch. 16 - A sinusoidal transverse wave traveling in the...Ch. 16 - Two sinusoidal waves of the same wavelength travel...Ch. 16 - Prob. 83PCh. 16 - Prob. 84PCh. 16 - Prob. 85PCh. 16 - a Write an equation describing a sinusoidal...Ch. 16 - A wave on a string is described by yx, t = 15.0...Ch. 16 - Prob. 88PCh. 16 - Two waves are described by...Ch. 16 - Prob. 90PCh. 16 - SSM In a demonstration, a 1.2 kg horizontal rope...Ch. 16 - Prob. 92PCh. 16 - A traveling wave on a string is described by...Ch. 16 - Prob. 94PCh. 16 - Prob. 95PCh. 16 - Consider a loop in the standing wave created by...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 6.00 cm, a wavelength of 4.3 m, and a period of 6.00 s, but one has a phase shift of an angle =0.50 rad. What is the height of the resultant wave at a time t=3.15 s and a position x=0.45 m ?arrow_forwardConsider two sinusoidal waves traveling along a string, modeled as y1(x,t)=0.3msin(4m1x+3s1t) and y2(x,t)=0.6msin(8m1x6s1t) . What is the height of the resultant wave formed by the interference of the two waves at the position x=0.5 m at time t=0.2 s?arrow_forwardThe equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0 sin (1.5x 45t), where x and y are in meters and the time t is in seconds. a. In what direction is the wave propagating? be. N What are the b. amplitude, c. wavelength, d. frequency, and e. propagation speed of the wave?arrow_forward
- A string is under tension FT1. Energy is transmitted by a wave on the string at rate P1by a wave of frequency f1. What is the ratio of the new energy transmission rate P2to P1if the tension is doubled?arrow_forwardA string is fixed at both end. The mass of the string is 0.0090 kg and the length is 3.00 m. The string is under a tension of 200.00 N. The string is driven by a variable frequency source to produce standing waves on the string. Find the wavelengths and frequency of the first four modes of standing waves.arrow_forwardConsider two sinusoidal sine waves traveling along a string, modeled as y1(x,t)=0.3msin(4m1x3s1t) and y2(x,t)=0.3msin(4m1x+3s1t) . What is the wave function of the resulting wave? [Hint: Use the trig identity sin(uv)=sinucosvcosusinvarrow_forward
- A taut rope has a mass of 0.180 kg and a length of 3.60 m. What power must be supplied to the rope so as to generate sinusoidal waves having an amplitude of 0.100 m and a wavelength of 0.500 m and traveling with a speed of 30.0 m/s?arrow_forward(d)v = 2ghmax A wave traveling on a string has the following wave function, y(x, t) = Asin(kx + wt + p). At time t = 0, the point x 0 has a displacement of y(0,0) = 0, and is moving in the negative y -direction. Which of the following is true about the phase constant and the wave speed direction? (a) o = "/2, and the wave is moving in the negative x-direction. (b)y = "2, and the wave is moving in the positive x-direction. (c) o = n and the wave is moving in the negative x-direction. (d)g = n and the wave is moving in the positive x-direction. 11) %3D %3D %3D %3D Y (90) = Aswyz) =0 or %3D Ao las(4)arrow_forwardA standing wave has the following wave-function: y(x,t) = 0.2 sin(3rox) cos(12rt), where x andy are in meters, and t is in seconds. If the length of the string is L = 2 m and it is fixed at both ends, then the harmonic, n, in which the string is vibrating is: O n= 5 O n= 6 O n = 3 On= 2 On= 4 ctudont uontd am lono campedarrow_forwardA standing wave pattern on a string is described by y(x,t) =0.04sin(5πx)cos(40πt), (1) where x and y are in meters and t is inseconds. (a) Determine the locations of all nodes for 0.00 ≦ x ≦0.40m. (b) What is the period of the oscillatory motion of any(nonode) point on the string. (c) What are the speed and theamplitude of the two traveling waves that interfere to produce thiswave? (d) At what times for 0.000 ≦ t ≦ 0.050s will all thepoints on the string have zero transverse velocity?arrow_forwardA propagating wave is represented by the wave function: y(x,t) = A sin (kx - wt+op where x and y are in meter and t in second. If at t = 0, the element x = 0 has a vertical displacement y = -A/2 and moving upward, then the wave is: propagating to the left with a phase angle p = -π/6 O propagating to the left with a phase angle = +7π/6 propagating to the right with a phase angle = -π/6 O propagating to the right with a phase angle = +7n/6 A block of mass m = 1.5 kg is attached to a spring with a spring constant k. The bu y(t) = 02 cos(10t+1/2).arrow_forwardA sinusoidal wave traveling in the negative x direction (to the left) has an amplitude of 20.0 cm, a wavelength of 35.0 cm, and a frequency of 12.0 Hz. The transverse position of an element of the medium at t = 0, x = 0 is y = 23.00 cm, and the element has a positive velocity here. We wish to findan expression for the wave function describing this wave. (a) Sketch the wave at t = 0. (b) Find the angular wave number k from the wavelength. (c) Find the period T from the frequency. Find (d) the angular frequency ω and (e) the wave speed υ. (f) From the information about t = 0, find the phase constant φ. (g) Write an expression for the wave function y(x, t).arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning